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3520020 = 2235717229
BaseRepresentation
bin1101011011011000010100
320121211120010
431123120110
51400120040
6203240220
741630310
oct15333024
96554503
103520020
111a94709
121219070
1396326a
14678b40
15497e80
hex35b614

3520020 has 144 divisors (see below), whose sum is σ = 12378240. Its totient is φ = 731136.

The previous prime is 3520009. The next prime is 3520021. The reversal of 3520020 is 200253.

3520020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3519978 and 3520005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3520021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121366 + ... + 121394.

It is an arithmetic number, because the mean of its divisors is an integer number (85960).

Almost surely, 23520020 is an apocalyptic number.

3520020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3520020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189120).

3520020 is an abundant number, since it is smaller than the sum of its proper divisors (8858220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3520020 is a wasteful number, since it uses less digits than its factorization.

3520020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 3520020 is about 1876.1716339397. The cubic root of 3520020 is about 152.1183865324.

Adding to 3520020 its reverse (200253), we get a palindrome (3720273).

The spelling of 3520020 in words is "three million, five hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 29 30 34 35 42 51 58 60 68 70 84 85 87 102 105 116 119 140 145 170 174 203 204 210 238 255 289 290 340 348 357 406 420 435 476 493 510 578 580 595 609 714 812 867 870 986 1015 1020 1156 1190 1218 1428 1445 1479 1734 1740 1785 1972 2023 2030 2380 2436 2465 2890 2958 3045 3451 3468 3570 4046 4060 4335 4930 5780 5916 6069 6090 6902 7140 7395 8092 8381 8670 9860 10115 10353 12138 12180 13804 14790 16762 17255 17340 20230 20706 24276 25143 29580 30345 33524 34510 40460 41412 41905 50286 51765 58667 60690 69020 83810 100572 103530 117334 121380 125715 167620 176001 207060 234668 251430 293335 352002 502860 586670 704004 880005 1173340 1760010 3520020